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====== Math 445 Course Outline ====== This is a rough outline of course topics and when they will be covered. ===== Introduction ===== lectures:\\ Tue 09/02: expressions, variables, assignment, types, relations, help\\ Thu 09/04: built-in functions, scripts matlab concepts: <code> = + - * / \ ^ ; , == ~= <= >= pi, ing, NaN, i,j ||, &&, ~, xor class, help, scientific notation, precedence sin, cos, tan, exp, log, abs, etc. format, who, whos, clear fix, round, floor, ceil rand, randn </code> homework 1, lab 1: matlab basics ===== Vectors & Matrices ===== lectures:\\ Tue 09/09 arrays, vectors, and indexing\\ Thu 09/11 mathematics of linear algebra, matrices\\ Tue 09/16 linear algebra in matlab\\ Thu 09/18 i/o, zeros, sparse matrices matlab concepts: <code> matrices, row and column vectors element access and assignment indices, colon syntax, sub-indexing load, save, zeros, rand, randn logical arrays matrix factorizations, eigenvalues </code> homework 2, lab 2: linear algebra and arrays ===== Plotting ===== lectures:\\ Tue 09/23 1d plots \\ Thu 09/25 mathematics: log-linear relations\\ Tue 09/30 2d plots matlab concepts: <code> linspace, linestyles, plot, semilogy, semilogx, loglog pcolor, contour, contourf, surf, surfc, axis, axis square, axis equal, xticks, yticks, xlabel, ylabel, title some basic string stuff </code> homework 3, lab 3: plotting and data analysis ===== EXAM 1 ===== Thu 10/02 in lecture\\ topics: basics, vectors & matrices, plotting ===== Programming ===== Tue 10/07 functions, \\ Thu 10/09 //if// statements\\ lab 4: interest rates Tue 10/14 //for// and //while// loops\\ Thu 10/16 nesting, timing\\ lab 5: factorial function, loan calculator\\ Tue 10/21 anonymous functions, function handles\\ Thu 10/23 solving nonlinear equations in one variable\\ lab 6: solving nonlinear equations\\ matlab concepts: <code> functions, arguments, return values if, else, elseif, switch, is for, while fprintf, tic, toc anonymous functions, function handles fzero, fsolve </code> ===== Application: solving nonlinear equations with Newton's method ===== Tue 10/21 mathematics\\ Thu 10/23 implementation in matlab\\ Tue 10/28\\ lab 7: Newton search ===== Exam 2 ===== Thu 10/30 in lecture\\ topic: programming ===== Application: Monte Carlo methods ===== Tue 11/04 \\ Thu 11/06 \\ \\ lab 8: monte carlo ===== Application: Google page rank ===== Tue 11/04 mathematics\\ Thu 11/06 implementation in matlab\\ Thu 11/13 \\ lab 9: google page rank ===== Application: game of life ===== Tue 11/18 \\ Thu 11/20 \\ Tue 11/25 \\ lab 10: game of life ===== Application: projectile motion ===== Tue 12/02 mathematics: equations of motion\\ Thu 12/04 solving differential equations in matlab\\ Tue 12/09\\ lab 11: projectile motion ===== Application: TBD ===== Thu 12/11\\ Tue 12/16\\ Thu 12/18\\
